GOD KING IS NOT BAD. ALL BOW TO OUR GLORIOUS OVERLORD.
Well, really, I'm not seeing where the hate for God-King is coming from. Or why Aristocracy is the best in its category. All the time I run Agrarianism, but not necessarily with Aristo. Maybe some of you do play Financial civs all the time, there I could see Aristo looking pretty strong. First of all I agree that cottages are woefully weak in FfH2 for most civs - so that's not what I'm arguing; the
choice isn't and has never been between cottages and farms to make that clear. I also run Agrarianism almost all my games when Guardian of nature isn't available; there's no way to argue that Agrarianism isn't best in its category.
So, then we're looking at the choice of Government civic, where I do think there are a lot of reasons, for various civs and settings, to go with something other than Aristocracy. Losing -1

for 2

really isn't all that good in the first place, and then there's the whole denial factor of not getting another civic. Even if it's not God-King, civics like Theocracy and Republic can have their uses for various victories or situations. The short answer is Aristocracy does deny you running more specialists and getting more production, and unless you have a monstrous empire (where hmm, City-States seems to shine) God-King can contribute hugely to your economy - it's not even hard at all to move the palace if your original cap doesn't get the holy city of your religion or something for more money. Especially early game God-King is very competitive, and I consistently win Deity games and seem to do well enough MP that I don't think Aristocracy is required. God-King can have synergy with ANY civ if the start/map suits it, and then it really does still shine with a ton of civs/random combos - Kurios always, Dwarves often, Any OO with Tower of Complacency, any civ with it's holy city, clan/Doviello who need straight production to go conquer... the list goes on. And I do wonder what game Senethro or anyone else is playing where Mysticism is a tech you want to avoid till the mid-game, a "beaker-sink" and "dead-end." If anyone needs I could easily take about 30 minutes for a test game where God-King in a holy-city, a couple settled GP gets me past whatever economic benchmark you're positing, up to and including Deity difficulty.